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Which of these points lie on both the lines 2x plus 3y equals 12 and 5y equals x plus 7?
Wiki User
∙ 14y ago
2x + 3y = 12
5y = x + 7
Express both equations as functions of x, that is the form y = ..., and find the intersection point.
y = (-2/3)x + 4
y = x/5 + 7/5
(-2/3)x + 4 = x/5 + 7/5
(-2/3)x - x/5 = 7/5 - 4 multiply both sides by the common denominator, 15
-10x - 3x = 21 - 60
- 13x = -39 divide by -13 to both sides
x = 3
To find the value of y, substitute 3 for x in one of the given equations.
y = (-2/3)x + 4
y = (-2/3)(3) + 4
y = -2 + 4
y = 2
Thus, the intersection point (3,2) satisfies both equations, and this point lies on both lines.
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∙ 14y ago
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Which type of lines are 4x plus 6y equals 12 and 2x plus 3y equals -6?
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Whadt type of lines are these x-3y equals -3 and 6x plus 2y equals -12?
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